Atomic boson-fermion mixtures in 1D box potentials: Few-body and mean-field many-body analyses

Abstract

We study binary atomic boson-fermion mixtures confined in one dimensional box potentials by few-body theory with contact interactions and mean-field many-body theory with density-density interactions. A variety of correlations and structures arise as the inter- and intra- species interactions are tuned. Both few-body and many-body results show that miscible phase and three-chunk phase separation are directly observable in the density profiles. Meanwhile, two-chunk phase separation can be inferred from the few-body correlations and many-body density profiles. We present phase diagrams of selected types of atomic mixtures to show where different structures survive. The few-body analysis demonstrates that two-body correlation functions can reveal information relevant to the results from many-body calculations or experiments. From the many-body density profiles in the phase-separation regime, we extract the healing lengths of each species and explain the scaling behavior by an energy-competition argument.

arXiv comment16 pages, 11 figures

References in corpus (50)

• Feshbach Resonances in Ultracold Gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Observation of Bose-Einstein Condensation of Molecules
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Bose-Einstein condensation of atoms in a uniform potential
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Single-atom imaging of fermions in a quantum-gas microscope
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Homogeneous Atomic Fermi Gases
• Quantum gas microscopy for single atom and spin detection
• Two-Dimensional Homogeneous Fermi Gases
• Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
• One-dimensional mixtures of several ultracold atoms: a review
• Spin-resolved single-atom imaging of ${}^6$Li in free space
• Double-degenerate Bose-Fermi mixture of strontium
• Observation of two-species vortex lattices in a mixture of mass-imbalance Bose and Fermi superfluids
• Cooling and thermometry of atomic Fermi gases
• Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
• Surface Tension in Unitary Fermi Gases with Population Imbalance
• Bose-Fermi Mixtures in One Dimension
• Feshbach resonances in mixtures of ultracold ${}^6$Li and ${}^{87}$Rb gases
• Collisions of ultracold molecules in bright and dark optical dipole traps
• Component separation in harmonically trapped boson-fermion mixtures
• Observation of Cooper Pairs in a Mesoscopic 2D Fermi Gas
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• Designing Arbitrary One-dimensional Potentials on an Atom Chip
• Super-resolution microscopy of cold atoms in an optical lattice
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Box traps on an atom chip for one-dimensional quantum gases
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Self-bound Bose-Fermi liquids in lower dimensions
• Mass imbalance effect in resonant Bose-Fermi mixtures
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Pathway toward the formation of supermixed states in ultracold boson mixtures loaded in ring lattices
• Theory of the Normal/Superfluid interface in population imbalanced Fermi gases
• Ground-state densities of repulsive two-component Fermi gases
• Signatures of unconventional pairing in spin-imbalanced one-dimensional few-fermion systems
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Single-Particle properties of a strongly-interacting Bose-Fermi mixture with mass and population imbalance
• Quantum point spread function for imaging trapped few-body systems with a quantum gas microscope
• Bistability of Bose-Fermi mixtures
• Unconventional pairing in few-fermion systems at finite temperature
• Thermodynamics and structural transition of binary atomic Bose-Fermi mixtures in box or harmonic potentials: A path-integral study
• Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall

Cited by in corpus (4)

• Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions
• Two-component repulsive atomic Fermi gases in a thin spherical shell
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Third quantization with Hartree approximation for open-system bosonic transport